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Finding the Fourth Proportional to 12,308.48, 18,473.70 and 5,738.36

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Solution

The fourth proportional to 12,308.48, 18,473.70 and 5,738.36 is: 8,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.48 : 18,473.70 = 5,738.36 : x
  2. Step 2: Convert to fraction form
    12,308.48/18,473.70 = 5,738.36/x
  3. Step 3: Cross multiply
    12,308.48x = 18,473.70 × 5,738.36
  4. Step 4: Simplify right side
    12,308.48x = 106,008,741.13
  5. Step 5: Solve for x
    x = 106,008,741.13/12,308.48
  6. Step 6: Final answer
    x = 8,612.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.